(I forgot) Yesterday is the 194th birthday of one of the greatest mathematicians Bernhard Riemann was born in Breselenz in 1826. Student of Gauss, Riemann published work in the fields of analysis and geometry. 1/n #Mathematics#Riemann
His biggest contribution was likely in the field of differential geometry, where he laid the groundwork for the geometric language later used in Einstein’s General Theory of Relativity.
1/2
Among many other achievements, he made groundbreaking discoveries regarding the distribution of prime numbers. The “Riemann Hypothesis” is one of the most famous unsolved problems in #Mathematics
1/3
He made deep contributions to complex analysis and number theory but is best remembered by physicists for his work on the foundations of geometry that would provide the mathematical framework for general relativity.
1/4
Riemann Hypothesis is my current research topic.
The Riemann hypothesis is now regarded as the most significant unsolved problem in mathematics.
1/5
It claims there is a hidden pattern to the distribution of prime numbers-numbers that can’t be factored, such as 5, 7, 41, and, oh, 1,000,033. The hypothesis has been shown experimentally to hold for the first 100 billion cases, which would be proof enough for
1/6
an accountant or even a physicist. But not for a mathematician.
Since the death of Riemann in 1866 at the modest age of 39, his groundbreaking papers has remained a landmark in the field of primes- and analytic number theory. 1/7
1/11: I have a tremendous interest in Graph Theory! Join me as we explore how different graph structures are utilized in real-world applications. Are you ready to connect the dots and discover their fascinating uses? Let's get started!
What is Graph Theory?
Graph Theory studies how points, called vertices, can be connected by lines, called edges. It’s a fascinating area of mathematics that helps solve complex real-world problems.
2/11: Simple Graphs
Simple graphs feature one connection between each pair of vertices with no loops. These are perfect for modeling social networks or understanding connectivity in basic network designs.
3/11: Directed Graphs
In directed graphs, edges have directions. This is crucial for understanding web navigation, supply chains, and even traffic flow, where direction influences movement and decisions.
1/16: Welcome to the surprising and diverse world of mathematics! In this thread, we'll look at 16 different areas of math and see how they play a crucial role in our daily lives. From keeping our online data safe to helping predict the weather, math is more than just numbers—it's a key part of everything from technology to nature. Are you ready to explore how math shapes our world? Join me as we discover the practical magic of math in real life!
2/16: Calculus
Calculus is vital in medicine for modeling the dynamics of blood flow, heartbeats, and respiratory rates. It helps doctors understand changes over time, crucial for diagnostics and treatments.
3/16: Statistics
Ever wonder how we predict weather or stock market trends? Statistics makes it possible! It's used extensively to analyze historical data and forecast future events, shaping countless decisions daily.
Today, I'm exploring the world of #Cryptography in this thread!
I'll be breaking down 5 key algorithms in a simple way: 1. RSA: Secure data with large prime numbers. 2. AES: Symmetric encryption with fixed block sizes. 3. SHA-256: Hash function ensuring data integrity. 4. Diffie-Hellman: Secure key exchange. 5. ECC: Asymmetric encryption with elliptic curves.
Mathematics is the backbone of these algorithms, ensuring our data stays safe and secure.
1. RSA: Secure data with large prime numbers.
RSA is an asymmetric cryptographic algorithm used for secure data transmission. It relies on the mathematical properties of large prime numbers.
2. AES: Symmetric encryption with fixed block sizes.
AES is a symmetric encryption algorithm widely used for securing data. It operates on fixed block sizes (128 bits) and uses key sizes of 128, 192, or 256 bits.
I recommend these 4 books to get a solid grasp of the basics of mathematics in quantum mechanics. Perfect for general readers and beginners! 1. Explore the fascinating world of quantum mechanics with 'Introduction to Quantum Mechanics' by David J. Griffiths. It's clear, concise, and great for general readers.
2. Want to dive into quantum mechanics? Start with 'Quantum Mechanics: The Theoretical Minimum' by Leonard Susskind. It's accessible and perfect for beginners.
For an intuitive understanding of quantum mechanics, try 'Quantum Mechanics for Scientists and Engineers' by David A.B. Miller. It's detailed yet approachable
As a mathematician, I am deeply fascinated by the Riemann Hypothesis, a 150-year-old unsolved & "Millennium Prize Problem". In this thread, I'll break it down in a simple way for everyone to understand. 🧵👇 #RiemannHypothesis
1/17
Ever wondered what the Riemann Hypothesis is? It's one of the biggest unsolved problems in mathematics! Let's dive into this intriguing mystery together.
2/17
Prime numbers are the building blocks of math. They're numbers greater than 1 that can't be divided by anything other than 1 and themselves. Examples? 2, 3, 5, 7, 11... #PrimeNumbers
3/17
If you've been disconnected from mathematics for a while, I recommend these 5 books to help ease you back in. Whether you're looking to brush up on basics or discover the fun side of formulas, these reads make math approachable and exciting. Ready to fall in love with numbers again? 1. "The Joy of x: A Guided Tour of Math, from One to Infinity" by Steven Strogatz - This book offers a fresh and inviting overview of mathematics, bringing to life the joy and practicality of numbers. Strogatz uses everyday examples and engaging stories to make complex concepts understandable and exciting.
2. "How Not to Be Wrong: The Power of Mathematical Thinking" by Jordan Ellenberg- Ellenberg's book is perfect for re-engaging with math through real-world applications. It shows how mathematical thinking can help us make better decisions and understand the world around us more deeply.
3. "The Magic of Math: Solving for x and Figuring Out Why" by Arthur Benjamin - This book is designed to show the fun side of mathematics. Benjamin, a renowned mathematician and "mathemagician," reveals the beauty and entertainment in mathematics, making it approachable for those who might be rusty.